Question

The LCD of … A. 3 B. 3(x-5)^2 C. 3(x-5) D.x-5

Answer 1

Answer: $(c)$

Step-by-step explanation:

Given

Fractions are$\dfrac{x^2-5x+6}{x-5}$ and $\dfrac{x^2-1}{3(x-5)}$

LCD of the two fractions is the least common denominator

$\text{LCD}\{x-5,3(x-5)\}=3(x-5)$

Thus, option (c) is correct.